von Neumann algebras;
completely positive maps;
Haagerup property;
crossed products;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We study finite von Neumann algebras M that admit an approximate identity made with completely positive normal maps whose extention to L-2(M) are compact operators. We prove heredity results, and we state sufficient conditions on actions of countable groups to ensure that the crossed product algebras have the same property.